#### Submissions from 2012

On a Diophantine Equation That Generates All Integral Apollonian Gaskets, Jerzy Kocik

#### Submissions from 2010

Norm Euclidean Quaternionic Orders, Robert W. Fitzgerald

On *k*-minimum and *m*-minimum Edge-Magic Injections of Graphs, John P. McSorley and John A. Trono

Feedback Linearizable Feedforward Systems: A Special Class, Issa Amadou Tall

State and Feedback Linearizations of Single-Input Control Systems, Issa Amadou Tall

#### Submissions from 2009

Invariants of Trace Forms over Finite Fields of Characteristic 2, Robert W. Fitzgerald

Sun's Conjectures on Fourth Powers in the Class Group of Binary Quadratic Forms, Robert W. Fitzgerald

Trace Forms over Finite Fields of Characteristic 2 with Prescribed Invariants, Robert W. Fitzgerald

Norm Principles for Forms of Higher Degree Permitting Composition, Robert W. Fitzgerald and Susanne Pumplün

The Adjoint *L*-function of *SU*_{2,1}, Joseph Hundley

Descent Construction for *GSpin* Groups – Even Case, Joseph Hundley and Eitan Sayag

Descent Construction for *GSpin* Groups–Odd Case, Joseph Hundley and Eitan Sayag

Descent Construction for *GSpin* Groups – Odd Cuspidal Case, Joseph Hundley and Eitan Sayag

Descent Construction for GSpin Groups: Main Results and Applications, Joseph Hundley and Eitan Sayag

Multivariate Matching Polynomials of Cyclically Labelled Graphs, John P. McSorley and Philip Feinsilver

Stochastic Dynamical Systems in Infinite Dimensions, Salah-Eldin A. Mohammed

Analytic Normal Forms and Symmetries of Strict Feedforward Control Systems, Issa Amadou Tall and Witold Respondek

#### Submissions from 2008

The Weak Euler Scheme for Stochastic Delay Equations, Evelyn Buckwar, Rachel Kuske, Salah-Eldin A. Mohammed, and Tony Shardlow

Multiplicative Properties of Integral Binary Quadratic Forms, A. G. Earnest and Robert W. Fitzgerald

The Adjoint *L*-function for *GL*_{5}, David Ginzburg and Joseph Hundley

Spin L-functions for *GSO*_{10} and *GSO*_{12}, Joseph Hundley

Constructing and Classifying Neighborhood Anti-Sperner Graphs, John P. McSorley

Factoring Families of Positive Knots on Lorenz-like Templates, Michael C. Sullivan

#### Submissions from 2007

Hartman-Grobman Theorems along Hyperbolic Stationary Trajectories, Edson A. Coayla-Teran, Salah-Eldin A. Mohammed, and Paulo Régis C. Ruffino

Represented Value Sets for Integral Binary Quadratic Forms and Lattices, A. G. Earnest and Robert W. Fitzgerald

Highly Degenerate Quadratic Forms over *F*_{2}, Robert W. Fitzgerald

Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Generalized Reciprocals, Factors of Dickson Polynomials and Generalized Cyclotomic Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

On Spin *L*-functions for *GSO*_{10}, David Ginzburg and Joseph Hundley

Closed-Neighborhood Anti-Sperner Graphs, John P. McSorley, Alison Marr, Thomas D. Porter, and Walter D. Wallis

Complete Enumeration and Properties of Binary Pseudo-Youden Designs PYD(9, 6, 6), John P. McSorley and Nicholas C. Phillips

Constructing *t*-designs from *t*-wise Balanced Designs, John P. McSorley and Leonard H. Soicher

The Substitution Theorem for Semilinear Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed and Tusheng Zhang

Prediction Intervals for Regression Models, David J. Olive

Behavior of Elemental Sets in Regression, David J. Olive and Douglas M. Hawkins

#### Submissions from 2006

Periodic Prime Knots and Toplogically transitive Flows on 3-Manifolds, William Basener and Michael C. Sullivan

Bass Series for Small Witt Rings, Robert W. Fitzgerald

The Spin *L*-Function of Quasi-Split *D*_{4}, Wee Teck Gan and Joseph Hundley

A New Tower of Rankin-Selberg Integrals, David Ginzburg and Joseph Hundley

Large Deviations for Stochastic Systems with Memory, Salah-Eldin A. Mohammed and Tusheng Zhang

The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed, Tusheng Zhang, and Huaizhong Zhao

Factoring Positive Braids via Branched Manifolds, Michael C. Sullivan

#### Submissions from 2005

Equivariant Flow Equivalence of Shifts of Finite Type by Matrix Equivalence over Group Rings, Mike Boyle and Michael C. Sullivan

Highly Degenerate Quadratic Forms over Finite Fields of Characteristic 2, Robert W. Fitzgerald

Factors of Dickson Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Sums of Gauss Sums and Weights of Irreducible Codes, Robert W. Fitzgerald and Joseph L. Yucas

Double Arrays, Triple Arrays, and Balanced Grids with *v* = *r* + *c* - 1, John P. McSorley

Double Arrays, Triple Arrays and Balanced Grids, John P. McSorley, Nicholas C. Phillips, Walter D. Wallis, and Joseph L. Yucas

Two Simple Resistant Regression Estimators, David J. Olive

Variable Selection for 1D Regression Models, David J. Olive and Douglas M. Hawkins

Knots on a Positive Template have a Bounded Number of Prime Factors., Michael C. Sullivan

Symbolic Dynamics and its Applications, Michael C. Sullivan

Twistwise Flow Equivalence and Beyond..., Michael C. Sullivan

Feedback Classification of Multi-Input Nonlinear Control Systems, Issa Amadou Tall

A Stochastic Calculus for Systems with Memory, Feng Yan and Salah-Eldin A. Mohammed

#### Submissions from 2004

The Linking Homomorphism of One-Dimensional Minimal Sets, Alex Clark and Michael C. Sullivan

Pencils of Quadratic Forms over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Multi-variable Rankin-Selberg Integrals for Orthogonal Groups, David Ginzburg and Joseph Hundley

Discrete-time Approximations of Stochastic Delay Equations: The Milstein Scheme, Yaozhong Hu, Salah-Eldin A. Mohammed, and Feng Yan

Generating Sequences of Clique-Symmetric Graphs via Eulerian Digraphs, John P. McSorley and Thomas D. Porter

The Stable Manifold Theorem for Nonlinear Stochastic Systems with Memory: II. The Local Stable Manifold Theorem, Salah-Eldin A. Mohammed and Michael K. R. Scheutzow

A Resistant Estimator of Multivariate Location and Dispersion, David J. Olive

Visualizing 1D Regression, David J. Olive

#### Submissions from 2003

A Characterization of Primitive Polynomials over Finite Fields, Robert W. Fitzgerald

Irreducible Polynomials over GF(2) with Three Prescribed Coefficients, Robert W. Fitzgerald and Joseph L. Yucas

Vertex-magic Labeling of Trees and Forests, I. D. Gray, J. MacDougall, John P. McSorley, and Walter D. Wallis

Controllability and Local Accessibility—A Normal Form Approach, Wei Kang, MingQing Xiao, and Issa Amadou Tall

Quantum Invariants of Templates, Louis H. Kauffman, Masahico Saito, and Michael C. Sullivan

Robust Regression with High Coverage, David J. Olive and Douglas M. Hawkins

Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants, Issa Amadou Tall and Witold Respondek

#### Submissions from 2002

Orthogonal Arrays of Strength Three from Regular 3-Wise Balanced Designs, Charles J. Colbourn, D. L. Kreher, John P. McSorley, and D. R. Stinson

Totally Magic Graphs, Geoffrey Exoo, Alan C. H. Ling, John P. McSorley, Nicholas C. Phillips, and Walter D. Wallis

Inconsistency of Resampling Algorithms for High Breakdown Regression Estimators and a New Algorithm, Douglas M. Hawkins and David J. Olive

Applications of Robust Distances for Regression, David J. Olive

#### Submissions from 2001

A Note on Visualizing Response Transformations in Regression, R. Dennis Cook and David J. Olive

Isotropy and Factorization in Reduced Witt Rings, Robert W. Fitzgerald

Norms of Sums of Squares, Robert W. Fitzgerald

Discrete-time Approximations of Stochastic Differential Systems with Memory, Yaozhong Hu, Salah-Eldin A. Mohammed, and Feng Yan

Stochastic Functional Differential Equations on Manifolds, Rémi Léandre and Salah-Eldin A. Mohammed

High Breakdown Analogs of the Trimmed Mean, David J. Olive

#### Submissions from 2000

Torsion-Free Modules over Reduced Witt Rings, Robert W. Fitzgerald

Knot Factoring, Michael C. Sullivan

Visually Building Smale Flows in S^{3}, Michael C. Sullivan

#### Submissions from 1999

Small Extensions of Witt Rings, Robert W. Fitzgerald

Applications and Algorithms for Least Trimmed Sum of Absolute Deviations Regression, Douglas M. Hawkins and David Olive

Improved Feasible Solution Algorithms for High Breakdown Estimation, Douglas M. Hawkins and David J. Olive

Single-Change Circular Covering Designs, John P. McSorley

The Stable Manifold Theorem for Stochastic Differential Equations, Salah-Eldin A. Mohammed and Michael K. R. Scheutzow

#### Submissions from 1998

Counting Structures in the Möbius Ladder, John P. McSorley

Stochastic Differential Systems with Memory: Theory, Examples and Applications, Salah-Eldin A. Mohammed

Spatial Estimates for Stochastic Flows in Euclidean Space, Salah-Eldin A. Mohammed and Michael K. R. Scheutzow

Invariants of Twist-wise Flow Equivalence, Michael C. Sullivan

Positive Knots and Robinson's Attractor, Michael C. Sullivan

#### Submissions from 1997

Gorenstein Witt Rings II, Robert W. Fitzgerald

K-Regular Witt Rings, Robert W. Fitzgerald

Cyclic Permutations in Doubly-Transitive Groups, John P. McSorley

Lyapunov Exponents of Linear Stochastic Functional-Differential Equations. II. Examples and Case Studies, Salah-Eldin A. Mohammed and Michael K. R. Scheutzow

An Invariant of Basic Sets of Smale Flows, Michael C. Sullivan

Invariants of Twist-wise Flow Equivalence, Michael C. Sullivan

Positive Braids with a Half Twist are Prime, Michael C. Sullivan